A further application of the deLeeuw-Glickstein theorem

Citation
Wj. Anderson et N. Ward-anderson, A further application of the deLeeuw-Glickstein theorem, R MT J MATH, 29(1), 1999, pp. 47-60
Citations number
18
Categorie Soggetti
Mathematics
Journal title
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
ISSN journal
00357596 → ACNP
Volume
29
Issue
1
Year of publication
1999
Pages
47 - 60
Database
ISI
SICI code
0035-7596(199921)29:1<47:AFAOTD>2.0.ZU;2-M
Abstract
The theorem of Ionescu Tulcea and Marinescu, a generalization of the ergodi c theorem of Doeblin and Fortet, is derived as a result of the deLeeuw-Glic ksberg decomposition. This complements recent work of Sine which derives as ymptotic periodicity results for constricted Markov operators from the deLe euw-Glickstein decomposition. A weak form of the Ionescu Tulcea and Marines cu theorem is obtained from the deLeeuw-Glickstein decomposition.